Create a factorable polynomial with a GCF of 3x. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.
Question
Answer:
he GCF is the greatest common factor of 2 or more numbers or polynomials.Start with the factors: x, x + 1, x - 2Β Now multiply them together.x(x+1)(xβ2)=(x2+x)(xβ2)=x3β2x2+x2β2x=x3βx2β2xOur polynomial is: x3βx2β2xSince we created our own polynomial from factors, now we know that this polynomial factors asx3βx2β2x=x(x+1)(xβ2)You can combine x with x + 1, and later x with x - 2, and have two other forms of the polynomial: x3βx2β2x=(x2+x)(xβ2)x3βx2β2x=(x2β2x)(x+1)
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